Geodesic
Integral transformations of generalized functions
Itogi nauki i tehniki. Seriâ, Matematičeskij analiz, Tome 20 (1982), pp. 78-115.

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One surveys the investigations on the integral transforms of generalized functions. Basically, the survey convers the papers and monographs published after 1974. 
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Yu. A. Brychkov; A. P. Prudnikov. Integral transformations of generalized functions. Itogi nauki i tehniki. Seriâ, Matematičeskij analiz, Tome 20 (1982), pp. 78-115. http://geodesic.mathdoc.fr/item/INTM_1982_20_a1/